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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2005, Volume 81, Issue 11, Pages 728–732
(Mi jetpl1771)
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This article is cited in 33 scientific papers (total in 33 papers)
METHODS OF THEORETICAL PHYSICS
On differential equation on four-point correlation function in the Conformal Toda Field Theory
V. A. Fateevab, A. V. Litvinova a L. D. Landau Institute for Theoretical Physics RAS,
142432 Chernogolovka, Russia
b Laboratoire de Physique Théorique et Astroparticules, Université
Montpelier II, Pl.E. Bataillon, 34095 Montpelier, France
Abstract:
The properties of completely degenerate fields in the Conformal Toda Field Theory are studied. It is shown that a generic four-point correlation function that contains only one such field does not satisfy ordinary differential equation in contrast to the Liouville Field Theory. Some additional assumptions for other fields are required. Under these assumptions we write such a differential equation and solve it explicitly. We use the fusion properties of the operator algebra to derive a special set of three-point correlation function. The result agrees with the semiclassical calculations.
Received: 05.05.2005
Citation:
V. A. Fateev, A. V. Litvinov, “On differential equation on four-point correlation function in the Conformal Toda Field Theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 81:11 (2005), 728–732; JETP Letters, 81:11 (2005), 594–598
Linking options:
https://www.mathnet.ru/eng/jetpl1771 https://www.mathnet.ru/eng/jetpl/v81/i11/p728
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